Q: What are the factor combinations of the number 153,303,143?

 A:
Positive:   1 x 1533031437 x 2190044947 x 3261769131 x 1170253329 x 465967917 x 1671793557 x 430996157 x 24899
Negative: -1 x -153303143-7 x -21900449-47 x -3261769-131 x -1170253-329 x -465967-917 x -167179-3557 x -43099-6157 x -24899


How do I find the factor combinations of the number 153,303,143?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 153,303,143, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 153,303,143
-1 -153,303,143

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 153,303,143.

Example:
1 x 153,303,143 = 153,303,143
and
-1 x -153,303,143 = 153,303,143
Notice both answers equal 153,303,143

With that explanation out of the way, let's continue. Next, we take the number 153,303,143 and divide it by 2:

153,303,143 ÷ 2 = 76,651,571.5

If the quotient is a whole number, then 2 and 76,651,571.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 153,303,143
-1 -153,303,143

Now, we try dividing 153,303,143 by 3:

153,303,143 ÷ 3 = 51,101,047.6667

If the quotient is a whole number, then 3 and 51,101,047.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 153,303,143
-1 -153,303,143

Let's try dividing by 4:

153,303,143 ÷ 4 = 38,325,785.75

If the quotient is a whole number, then 4 and 38,325,785.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 153,303,143
-1 153,303,143
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

17471313299173,5576,15724,89943,099167,179465,9671,170,2533,261,76921,900,449153,303,143
-1-7-47-131-329-917-3,557-6,157-24,899-43,099-167,179-465,967-1,170,253-3,261,769-21,900,449-153,303,143

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